Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Zimmermann, Jakob"'
Autor:
Axenovich, Maria, Zimmermann, Jakob
The classical extremal function for a graph $H$, $ex(K_n, H)$ is the largest number of edges in a subgraph of $K_n$ that contains no subgraph isomorphic to $H$. Note that defining $ex(K_n, H-ind)$ by forbidding induced subgraphs isomorphic to $H$ is
Externí odkaz:
http://arxiv.org/abs/2401.11296
Autor:
Gül, Ersin, Huuskonen, Jemina, Abi Younes, Andrew, Maurer, Luca, Enz, Ursina, Zimmermann, Jakob, Sellin, Mikael E., Bakkeren, Erik, Hardt, Wolf-Dietrich
Publikováno v:
In Cell Reports 26 March 2024 43(3)
We investigate the existence of maximal collections of mutually noncrossing $k$-element subsets of $\left\{ 1, \dots, n \right\}$ that are invariant under adding $k\pmod n$ to all indices. Our main result is that such a collection exists if and only
Externí odkaz:
http://arxiv.org/abs/1808.03556
Autor:
Chen, Chih-Whi, Dubsky, Brendan Frisk, Jonsson, Helena, Mazorchuk, Volodymyr, Westin, Elin Persson, Zhang, Xiaoting, Zimmermann, Jakob
This is a write-up of the discussions during the meetings of the study group on representation theory of semirings which was organized at the Department of Mathematics, Uppsala University, during the academic year 2017-2018. The main emphasis is on c
Externí odkaz:
http://arxiv.org/abs/1806.06501
Autor:
Zimmermann, Jakob
In this paper we study simple transitive $2$-representations of certain $2$-subcategories of the $2$-category of projective functors over a star algebra. We show that in the simplest case, which is associated to the Dynkin type $A_2$, simple transiti
Externí odkaz:
http://arxiv.org/abs/1805.05724
Autor:
Zimmermann, Jakob
We show that every simple transitive $2$-representation of the $2$-category of projective functors for a certain quotient of the quadratic dual of the preprojective algebra associated with a tree is equivalent to a cell $2$-representation.
Comme
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Externí odkaz:
http://arxiv.org/abs/1705.01149
Autor:
Thörnblad, Erik, Zimmermann, Jakob
Publikováno v:
Journal of Integer Sequences, Vol 21, 2018
Given any polynomial $p$ in $C[X]$, we show that the set of irreducible matrices satisfying $p(A)=0$ is finite. In the specific case $p(X)=X^2-nX$, we count the number of irreducible matrices in this set and analyze the arising sequences and their as
Externí odkaz:
http://arxiv.org/abs/1701.03699
In all finite Coxeter types but $I_2(12)$, $I_2(18)$ and $I_2(30)$, we classify simple transitive $2$-rep\-re\-sen\-ta\-ti\-ons for the quotient of the $2$-category of Soergel bimodules over the coinvariant algebra which is associated to the two-side
Externí odkaz:
http://arxiv.org/abs/1605.01373
Autor:
Zimmermann, Jakob
We prove that every simple transitive $2$-representation of the fiat $2$-category of Soergel bimodules (over the coinvariant algebra) in type $B_2$ is equivalent to a cell $2$-representation. We also describe some general properties of the $2$-catego
Externí odkaz:
http://arxiv.org/abs/1509.01441